The map coordinates of a campground are (1, 4), and the coordinates of a fishing pier are
(4,7). Each unit on the map represents 1 kilometer. If Alejandro walks in a straight line from
the campground to the pier, how many kilometers, to the nearest tenth, will he walk?
4.2 kilometers
3.5 kilometers
12.1 kilometers
6.0 kilometers

Respuesta :

Answer: LOL  GIVE ME POINTS

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So, let’s find the distance between the two points.

We will use the distance formula: “

[tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

We will let (1, 4) be (x₁, y₁) and (4, 7) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(4-1)^2+(7-4)^2[/tex]

Evaluate:

[tex]d=\sqrt{(3)^2+(3)^2}[/tex]

Evauate:

[tex]d=\sqrt{18}=\sqrt{9\cdot 2}=3\sqrt2\approx4.2[/tex]

So, the distance between the two points is 4.2 units.

Since each unit is equivalent to one kilomeer, Alejandro wil need to walk approximately 4.2 kilometers.

So, our answer is A.

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